Bounds on Real and Imaginary Parts of Non-Real Eigenvalues of a Non-Definite Sturm-Liouville Differential Equation with Cauchy Boundary Conditions

Abstract

     We are concerned in the paper with spectral properties of indefinite Sturm – Liouville type problems with Cauchy boundary conditions where differential equations coefficients are real valued integrable functions, and the spectral parameter is also purely complex number. And also we get bounds on the real and imaginary parts of indefinite Sturm- Liouville problem with cauchy conditions.